A384609 Possible values for the number of nilpotent groups of a finite order, ordered by size.

1, 2, 4, 5, 8, 10, 14, 15, 16, 20, 25, 28, 30, 32, 40, 50, 51, 56, 60, 64, 67, 70, 75, 77, 80, 83, 87, 97, 100, 101, 102, 107, 111, 112, 120, 125, 128, 131, 134, 140, 145, 149, 150, 154, 155, 159, 160, 166, 173, 174, 183, 193, 194, 196, 200, 202, 203, 204, 207

Offset

1,2

Comments

A066060 sorted and duplicates removed.

List of all possible products of terms in A384607 (possibly with use of the same integer more than once).

Links

Robin Jones, Table of n, a(n) for n = 1..135

Example

1 is in this sequence as there is exactly 1 nilpotent group of order 1.
2 is in this sequence as there are exactly 2 nilpotent groups of order 4.
4 is in this sequence as there are exactly 4 nilpotent groups of order 36.
3 is not in this sequence as there are never exactly 3 nilpotent groups of any given order.

Crossrefs

Cf. A066060, A384607.

Sequence in context: A186077 A358610 A018498 * A002048 A174989 A190809

Adjacent sequences: A384606 A384607 A384608 * A384610 A384611 A384612

Keyword

nonn

Author

Robin Jones, Jun 04 2025

Status

approved